We have two lines : $$L_1 : a_1x+b_1y+c_1=0,\quad L_2 : a_2x+b_2y+c_2=0$$ and the angle bisectors : $$L_{\pm} : \frac{a_1x+b_1y+c_1}{\sqrt{a_1^2+b_1^2}}=\pm\frac{a_2x+b_2y+c_2}{\sqrt{a_2^2+b_2^2}}$$ If we let $\theta$ be the (smaller) angle between $L_+$ and $L_1$, then we have $$\cos\theta=\frac{\left|a_1\left(\frac{a_1}{\sqrt{a_1^2+b_1^2}}-\frac{ ...
Tomatoes run on warmth; plant in late spring and early summer except in zone 10, where they are a fall and winter crop. Devote a prime, sunny spot to growing tomatoes. Tomatoes need at least 6 to 8 hours of sun to bring out their best flavors.
About two weeks before planting tomatoes, the soil should be tilled up to 12 inches down and compost or fertilizer should be added. Seedlings should be planted after the last frost, with the root ball completely covered and the lowest leaves above the soil.